SOLUTION: Find a quadratic function F(x) that takes its largest value of 200 at x=3, and express it in standard form F(x)= {{{ax^2+bx+c}}}. Give the values of a,b, and c. a= b= c=

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: Find a quadratic function F(x) that takes its largest value of 200 at x=3, and express it in standard form F(x)= {{{ax^2+bx+c}}}. Give the values of a,b, and c. a= b= c=      Log On


   



Question 1027833: Find a quadratic function F(x) that takes its largest value of 200 at x=3, and express it in standard form F(x)= ax%5E2%2Bbx%2Bc. Give the values of a,b, and c.
a=
b=
c=

Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
Find a quadratic function F(x) that takes its largest value of 200 at x=3,
and express it in standard form F(x)= ax%5E2%2Bbx%2Bc. Give the values of a,b, and c.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

For example, this one:

F(x) = 200+-+%28x-3%29%5E2 = 200+-+%28x%5E2+-+6x+%2B+36%29 = -x%5E2+%2B+6x+%2B+164,

with 

a =  -1,
b =   6,
c = 164.

Although it is not unique.